'Artists' tape from the art supply shop works well for me. It comes in any number of widths, so you can get it in just the right size and just cut it to length. I've re-done quite a few holders with this type of tape.

This question came up probably 2 or 3 years ago and I believe it was Sandy King who recommended bookbinders tape from Gaylord Library Supply. I got some and it works great. Sorry, I don't remember the product number. Maybe Sandy will see this and respond.